Based on the author’s discussion with ChatGPT o1, below is a concise list of some foundational thought/imagination operations we’ve identified so far, each with a short description.

This list is one possible ordering of these operations, arranged from most foundational (simple transformations on what’s already present) to more complex (involving abstraction, context shifts, and temporal or evidential reasoning). Of course, any such ordering is subjective; different thinkers might sequence them differently based on how they conceptualize “foundational.” Still, this list gives a helpful progression from basic acts to more advanced cognitive maneuvers.

1. Addition or Subtraction

• Definition: Including or removing elements or phases from a mental construct.
• Example: Expanding a story by adding a new character, or simplifying a recipe by cutting out ingredients.

2. Partitioning or Unifying

• Definition: Splitting elements or phases into distinct parts, or merging multiple elements or phases into a whole.
• Example: Breaking a problem into smaller subproblems, or consolidating scattered notes into a single outline.

3. Enumerating

• Definition: Systematically listing or mapping out all possible combinations or permutations to ensure none are missed.
• Example: Pairing {red, blue, green} with {circle, square, triangle} to generate nine distinct design ideas.